Indian Institute of Information Technology, Allahabad $C:\Users\IIITA\Desktop\Indian_Institute_of_Information_Technology,_Allahabad_Logo.png$

Department of Information Technology

Course Syllabus

1. Name of the Course: Mathematics for IT

2. LTP structure of the course: 2-2-0

3. Objective of the course: This course covers Linear algebra; Matrix theory and probability (discrete & continuous) for information technology. Objective is to give fundamental knowledge to students and application on IT with more emphasis on problem solving.

4. Outcome of the course: Students will learn fundamentals and able to apply these knowledge in practical problems.

5. Course Plan:

	Unit		Topics for Coverage
Component 1	Unit 1	Linear Algebra	Systems of linear equations; Row reduction and echelon forms; Matrix operations, including inverses; Linear dependence and independence; Subspaces and bases and dimensions; Orthogonal bases and orthogonal projections; Gram-Schmidt process; Projections; Linear models and least-squares problems; Determinants and their properties.
Component 1	Unit 2	Linear Algebra	Eigenvalues and eigenvectors; Diagonalization of a matrix; Symmetric matrices; Positive definite matrices; Similar matrices; Linear transformations; Singular Value Decomposition.
Component 2	Unit 3	Probability	Events and Probability Spaces; Conditional Probability; Independence; Random Variables and Distributions; Expectation
Component 2	Unit 4	Probability	Limit Theorems, Deviations; Markov Chains; Random Walks.

6. Text Book:

Strang, Gilbert. Introduction to Linear Algebra.
Bertsekas, Dimitri, and John Tsitsiklis. Introduction to Probability.

7. References: